What is the common difference of the A.P in which 18th term – 14th term = 32?  *8-84-4

The problem is asking for the common difference of an arithmetic progression (A.P) where the difference between the 18th term and the 14th term is 32.

In an arithmetic progression, the difference between any two successive terms is constant. This difference is called the common difference.

The nth term of an arithmetic progression where 'a' is the first term and 'd' is the common difference can be found using the formula:

nth term = a + (n-1)*d

Given that the 18th term – 14th term = 32, we can substitute these values into the formula:

a + (18-1)*d - (a + (14-1)*d) = 32 a + 17d - a - 13d = 32 4d = 32

Solving for 'd', we find that the common difference of the arithmetic progression is 8.